The solution to the current problems may be the Bullets and Beans redux. The often criticized program worked and proved deadly against Marxist vermin in Central America.
Civil Wars by nature are deadly matters and this part of the formula is forgotten. Communist foreign supplied and trained mercenaries impressed and extorted the local civilians. The left discounted numerous assasinations and acts of terrorism with familiar excuses about colaberators, class enemies. This obfuscation of reality only works on College campuses where doctrinaire Commie thugs live in tenured positions.
Back in reality where General Rios Montt lived the policy was to arm the local populace so they would not fall victim to Communist aggression. The locals are in a position to know who is supporting the acolytes of class genocide and defend themselves. This is opposed to Cuba, Cambodia, Eithiopia where normal misrue caused fatalities.
Let the locals defend themselves from Jihadist vermin in Iraq. Arm and train ordinary citizens so when the Jihadist vermin show up they are slaughtered. The spate of kidnappings depends on an unarmed populace. Those that are anti regime easily find weapons so arming the locals is just an effective countermeasure.
Training the Iraqi army itself remains job one. However, training locals to protect themselves against Jihadist and criminals should be considered.